Mich. Comp. Laws § 800.453

Sec. 3. (1) The state shall reimburse each county for the reasonable and actual costs incurred by that county for implementing additional jurisdictional duties in the circuit court imposed upon that county by law because that county is specifically named in the law as having jurisdiction. (2) Each county shall submit quarterly its itemized costs as described in this section to the state court administrative office. After determination by the state court administrator of the reasonableness of the amount to be paid, payment shall be made in accordance with the accounting laws of the state. The determination of reasonableness by the state court administrator shall be conclusive.